----------------------------------------------------------------------------------
      name:  <unnamed>
       log:  C:\research\china\decentralization\restat_data\results\table5.log
  log type:  text
 opened on:  22 Jul 2016, 09:37:48

. 
. 
. /*
> *instructions for outreg;
> local instruct_ols "ctitle(OLS) dec(4)  auto(2) symbol(***,**,*) se"; 
> local instruct_iv "ctitle(IV) dec(4)  auto(2) symbol(***,**,*) se addstat(First 
> stage F, e(widstat))"; 
> local instruct_iv_overid "ctitle(IV) dec(4)  auto(2) symbol(***,**,*)  se addsta
> t(Overid,e(jp),First stage F, e(widstat))"; 
> */
. 
. 
. ********************************************************************; 
. ***     TABLE 5 pop growth 1990_2010 -- IV excluding the West          
. ********************************************************************; 
. 
. *stripped down specification
. ivreg2 D_censuspop9010_cp (all_road_2010_rays=road_1962_rays) if west==0 & D0==1
> ,  first ffirst robust cluster(province05)

First-stage regressions
-----------------------


First-stage regression of all_road_2010_rays:

Statistics robust to heteroskedasticity and clustering on province05
Number of obs =                    208
Number of clusters (province05) =     19
--------------------------------------------------------------------------------
               |               Robust
all_road_201~s |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
---------------+----------------------------------------------------------------
road_1962_rays |   .5071325   .1034115     4.90   0.000     .3032519    .7110132
         _cons |   2.820658   .2579063    10.94   0.000     2.312184    3.329132
--------------------------------------------------------------------------------
F test of excluded instruments:
  F(  1,    18) =    24.05
  Prob > F      =   0.0001
Sanderson-Windmeijer multivariate F test of excluded instruments:
  F(  1,    18) =    24.05
  Prob > F      =   0.0001



Summary results for first-stage regressions
-------------------------------------------

                                           (Underid)            (Weak id)
Variable     | F(  1,    18)  P-val | SW Chi-sq(  1) P-val | SW F(  1,    18)
all_road_201 |      24.05    0.0001 |       25.51   0.0000 |       24.05

NB: first-stage test statistics cluster-robust

Stock-Yogo weak ID F test critical values for single endogenous regressor:
                                   10% maximal IV size             16.38
                                   15% maximal IV size              8.96
                                   20% maximal IV size              6.66
                                   25% maximal IV size              5.53
Source: Stock-Yogo (2005).  Reproduced by permission.
NB: Critical values are for i.i.d. errors only.

Underidentification test
Ho: matrix of reduced form coefficients has rank=K1-1 (underidentified)
Ha: matrix has rank=K1 (identified)
Kleibergen-Paap rk LM statistic          Chi-sq(1)=9.70     P-val=0.0018

Weak identification test
Ho: equation is weakly identified
Cragg-Donald Wald F statistic                                      25.15
Kleibergen-Paap Wald rk F statistic                                24.05

Stock-Yogo weak ID test critical values for K1=1 and L1=1:
                                   10% maximal IV size             16.38
                                   15% maximal IV size              8.96
                                   20% maximal IV size              6.66
                                   25% maximal IV size              5.53
Source: Stock-Yogo (2005).  Reproduced by permission.
NB: Critical values are for Cragg-Donald F statistic and i.i.d. errors.

Weak-instrument-robust inference
Tests of joint significance of endogenous regressors B1 in main equation
Ho: B1=0 and orthogonality conditions are valid
Anderson-Rubin Wald test           F(1,18)=        0.26     P-val=0.6193
Anderson-Rubin Wald test           Chi-sq(1)=      0.27     P-val=0.6026
Stock-Wright LM S statistic        Chi-sq(1)=      0.38     P-val=0.5387

NB: Underidentification, weak identification and weak-identification-robust
    test statistics cluster-robust

Number of clusters             N_clust  =         19
Number of observations               N  =        208
Number of regressors                 K  =          2
Number of endogenous regressors      K1 =          1
Number of instruments                L  =          2
Number of excluded instruments       L1 =          1

IV (2SLS) estimation
--------------------

Estimates efficient for homoskedasticity only
Statistics robust to heteroskedasticity and clustering on province05

Number of clusters (province05) =     19              Number of obs =      208
                                                      F(  1,    18) =     0.25
                                                      Prob > F      =   0.6228
Total (centered) SS     =  19.47009702                Centered R2   =  -0.0125
Total (uncentered) SS   =  59.41905053                Uncentered R2 =   0.6682
Residual SS             =  19.71286488                Root MSE      =    .3079

---------------------------------------------------------------------------------
                |               Robust
D_censu~9010_cp |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
----------------+----------------------------------------------------------------
all_road_2010~s |  -.0105433   .0204561    -0.52   0.606    -.0506365    .0295499
          _cons |   .4780907    .100571     4.75   0.000     .2809752    .6752062
---------------------------------------------------------------------------------
Underidentification test (Kleibergen-Paap rk LM statistic):              9.697
                                                   Chi-sq(1) P-val =    0.0018
------------------------------------------------------------------------------
Weak identification test (Cragg-Donald Wald F statistic):               25.151
                         (Kleibergen-Paap rk Wald F statistic):         24.049
Stock-Yogo weak ID test critical values: 10% maximal IV size             16.38
                                         15% maximal IV size              8.96
                                         20% maximal IV size              6.66
                                         25% maximal IV size              5.53
Source: Stock-Yogo (2005).  Reproduced by permission.
NB: Critical values are for Cragg-Donald F statistic and i.i.d. errors.
------------------------------------------------------------------------------
Hansen J statistic (overidentification test of all instruments):         0.000
                                                 (equation exactly identified)
------------------------------------------------------------------------------
Instrumented:         all_road_2010_rays
Excluded instruments: road_1962_rays
------------------------------------------------------------------------------

. outreg2 using "table5", excel  dec(4)  auto(2) symbol(***,**,*)  se addstat(Firs
> t stage F, e(widstat))  replace
table5.xml
dir : seeout

. *base specification
. ivreg2 D_censuspop9010_cp larea_cc90 larea_pf05 province_capitalPlus lcensuspop1
> 982_pref frac_highedu1982_pref share_emp_man1982_pref (all_road_2010_rays D_cens
> uspop9010_pref=road_1962_rays ruralMigp00) if west==0 & D0==1,  first ffirst rob
> ust cluster(province05)

Unable to store first-stage regression of D_censuspop9010_pref.


First-stage regressions
-----------------------

Unable to display all first-stage regressions.
There may be insufficient room to store results using -estimates store-,
or names of endogenous regressors may be too long to store the results.
Try dropping one or more estimation results using -estimates drop-,
using the -savefprefix- option, or using shorter variable names.


First-stage regression of all_road_2010_rays:

Statistics robust to heteroskedasticity and clustering on province05
Number of obs =                    208
Number of clusters (province05) =     19
---------------------------------------------------------------------------------
                |               Robust
all_road_2010~s |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
----------------+----------------------------------------------------------------
 road_1962_rays |   .3315884   .0889083     3.73   0.000     .1562652    .5069117
    ruralMigp00 |   2.53e-06   1.12e-06     2.26   0.025     3.25e-07    4.74e-06
     larea_cc90 |   .1069934   .1420928     0.75   0.452    -.1732075    .3871943
     larea_pf05 |    .207293   .2692965     0.77   0.442    -.3237479    .7383339
province_capi~s |   1.814781   .5524353     3.29   0.001     .7254023    2.904159
lcensuspop198~f |   .7746673    .262127     2.96   0.004     .2577642     1.29157
frac_hig~2_pref |   2.401237   4.232774     0.57   0.571    -5.945609    10.74808
sha~an1982_pref |  -4.402604   2.013494    -2.19   0.030    -8.373127   -.4320809
          _cons |   -11.1426   3.364919    -3.31   0.001    -17.77808   -4.507129
---------------------------------------------------------------------------------
F test of excluded instruments:
  F(  2,    18) =    11.24
  Prob > F      =   0.0007
Sanderson-Windmeijer multivariate F test of excluded instruments:
  F(  1,    18) =    24.25
  Prob > F      =   0.0001



Summary results for first-stage regressions
-------------------------------------------

                                           (Underid)            (Weak id)
Variable     | F(  2,    18)  P-val | SW Chi-sq(  1) P-val | SW F(  1,    18)
all_road_201 |      11.24    0.0007 |       26.62   0.0000 |       24.25
D_censuspop9 |       4.01    0.0364 |       44.38   0.0000 |       40.42

NB: first-stage test statistics cluster-robust

Stock-Yogo weak ID F test critical values for single endogenous regressor:
                                   10% maximal IV size             19.93
                                   15% maximal IV size             11.59
                                   20% maximal IV size              8.75
                                   25% maximal IV size              7.25
Source: Stock-Yogo (2005).  Reproduced by permission.
NB: Critical values are for i.i.d. errors only.

Underidentification test
Ho: matrix of reduced form coefficients has rank=K1-1 (underidentified)
Ha: matrix has rank=K1 (identified)
Kleibergen-Paap rk LM statistic          Chi-sq(1)=10.41    P-val=0.0013

Weak identification test
Ho: equation is weakly identified
Cragg-Donald Wald F statistic                                       6.63
Kleibergen-Paap Wald rk F statistic                                11.52

Stock-Yogo weak ID test critical values for K1=2 and L1=2:
                                   10% maximal IV size              7.03
                                   15% maximal IV size              4.58
                                   20% maximal IV size              3.95
                                   25% maximal IV size              3.63
Source: Stock-Yogo (2005).  Reproduced by permission.
NB: Critical values are for Cragg-Donald F statistic and i.i.d. errors.

Weak-instrument-robust inference
Tests of joint significance of endogenous regressors B1 in main equation
Ho: B1=0 and orthogonality conditions are valid
Anderson-Rubin Wald test           F(2,18)=        6.37     P-val=0.0081
Anderson-Rubin Wald test           Chi-sq(2)=     13.99     P-val=0.0009
Stock-Wright LM S statistic        Chi-sq(2)=     10.62     P-val=0.0049

NB: Underidentification, weak identification and weak-identification-robust
    test statistics cluster-robust

Number of clusters             N_clust  =         19
Number of observations               N  =        208
Number of regressors                 K  =          9
Number of endogenous regressors      K1 =          2
Number of instruments                L  =          9
Number of excluded instruments       L1 =          2

IV (2SLS) estimation
--------------------

Estimates efficient for homoskedasticity only
Statistics robust to heteroskedasticity and clustering on province05

Number of clusters (province05) =     19              Number of obs =      208
                                                      F(  8,    18) =    15.72
                                                      Prob > F      =   0.0000
Total (centered) SS     =  19.47009702                Centered R2   =   0.4330
Total (uncentered) SS   =  59.41905053                Uncentered R2 =   0.8142
Residual SS             =  11.04027411                Root MSE      =    .2304

---------------------------------------------------------------------------------
                |               Robust
D_censu~9010_cp |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
----------------+----------------------------------------------------------------
all_road_2010~s |  -.0594784   .0237234    -2.51   0.012    -.1059753   -.0129814
D_cen~9010_pref |   .9120932   .1609353     5.67   0.000     .5966657    1.227521
     larea_cc90 |  -.1119016   .0213952    -5.23   0.000    -.1538354   -.0699678
     larea_pf05 |   .0719756   .0265617     2.71   0.007     .0199156    .1240357
province_capi~s |   .2458618   .0742397     3.31   0.001     .1003547    .3913688
lcensuspop198~f |   .1130567   .0425738     2.66   0.008     .0296136    .1964998
frac_hig~2_pref |  -.8924004   .4625271    -1.93   0.054    -1.798937     .014136
sha~an1982_pref |  -.4473353   .2440858    -1.83   0.067    -.9257347    .0310641
          _cons |  -.8956259   .6833616    -1.31   0.190     -2.23499    .4437383
---------------------------------------------------------------------------------
Underidentification test (Kleibergen-Paap rk LM statistic):             10.415
                                                   Chi-sq(1) P-val =    0.0013
------------------------------------------------------------------------------
Weak identification test (Cragg-Donald Wald F statistic):                6.627
                         (Kleibergen-Paap rk Wald F statistic):         11.523
Stock-Yogo weak ID test critical values: 10% maximal IV size              7.03
                                         15% maximal IV size              4.58
                                         20% maximal IV size              3.95
                                         25% maximal IV size              3.63
Source: Stock-Yogo (2005).  Reproduced by permission.
NB: Critical values are for Cragg-Donald F statistic and i.i.d. errors.
------------------------------------------------------------------------------
Hansen J statistic (overidentification test of all instruments):         0.000
                                                 (equation exactly identified)
------------------------------------------------------------------------------
Instrumented:         all_road_2010_rays D_censuspop9010_pref
Included instruments: larea_cc90 larea_pf05 province_capitalPlus
                      lcensuspop1982_pref frac_highedu1982_pref
                      share_emp_man1982_pref
Excluded instruments: road_1962_rays ruralMigp00
------------------------------------------------------------------------------

. outreg2 using "table5", excel  dec(4)  auto(2) symbol(***,**,*)  se addstat(Firs
> t stage F, e(widstat))  append
table5.xml
dir : seeout

. *add km roads outside CC
. ivreg2 D_censuspop9010_cp larea_cc90 larea_pf05 province_capitalPlus lcensuspop1
> 982_pref frac_highedu1982_pref share_emp_man1982_pref (all_road_2010_rays D_cens
> uspop9010_pref lall_road_2010_km_pfcp=road_1962_rays ruralMigp00 lroad_1962_km_p
> fcp) if west==0 & D0==1, first ffirst robust cluster(province05)

Unable to store first-stage regression of D_censuspop9010_pref.


Unable to store first-stage regression of lall_road_2010_km_pfcp.


First-stage regressions
-----------------------

Unable to display all first-stage regressions.
There may be insufficient room to store results using -estimates store-,
or names of endogenous regressors may be too long to store the results.
Try dropping one or more estimation results using -estimates drop-,
using the -savefprefix- option, or using shorter variable names.


First-stage regression of all_road_2010_rays:

Statistics robust to heteroskedasticity and clustering on province05
Number of obs =                    208
Number of clusters (province05) =     19
---------------------------------------------------------------------------------
                |               Robust
all_road_2010~s |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
----------------+----------------------------------------------------------------
 road_1962_rays |   .3377822   .0867758     3.89   0.000     .1666589    .5089056
    ruralMigp00 |   2.51e-06   1.12e-06     2.24   0.026     3.03e-07    4.71e-06
lroad_1962_km~p |  -.0835842   .1832969    -0.46   0.649    -.4450488    .2778805
     larea_cc90 |   .0901817   .1540927     0.59   0.559    -.2136919    .3940552
     larea_pf05 |   .2951993    .350614     0.84   0.401    -.3962176    .9866161
province_capi~s |    1.78962   .5308675     3.37   0.001     .7427402      2.8365
lcensuspop198~f |    .802369    .283462     2.83   0.005     .2433769    1.361361
frac_hig~2_pref |    2.44386   4.254016     0.57   0.566    -5.945134    10.83285
sha~an1982_pref |   -4.34406   1.926494    -2.25   0.025     -8.14314   -.5449802
          _cons |  -11.82723   4.020894    -2.94   0.004     -19.7565   -3.897957
---------------------------------------------------------------------------------
F test of excluded instruments:
  F(  3,    18) =     7.75
  Prob > F      =   0.0016
Sanderson-Windmeijer multivariate F test of excluded instruments:
  F(  1,    18) =    27.20
  Prob > F      =   0.0001



Summary results for first-stage regressions
-------------------------------------------

                                           (Underid)            (Weak id)
Variable     | F(  3,    18)  P-val | SW Chi-sq(  1) P-val | SW F(  1,    18)
all_road_201 |       7.75    0.0016 |       30.01   0.0000 |       27.20
D_censuspop9 |       7.69    0.0016 |       48.17   0.0000 |       43.65
lall_road_20 |      15.28    0.0000 |       16.79   0.0000 |       15.21

NB: first-stage test statistics cluster-robust

Stock-Yogo weak ID F test critical values for single endogenous regressor:
                                    5% maximal IV relative bias    13.91
                                   10% maximal IV relative bias     9.08
                                   20% maximal IV relative bias     6.46
                                   30% maximal IV relative bias     5.39
                                   10% maximal IV size             22.30
                                   15% maximal IV size             12.83
                                   20% maximal IV size              9.54
                                   25% maximal IV size              7.80
Source: Stock-Yogo (2005).  Reproduced by permission.
NB: Critical values are for i.i.d. errors only.

Underidentification test
Ho: matrix of reduced form coefficients has rank=K1-1 (underidentified)
Ha: matrix has rank=K1 (identified)
Kleibergen-Paap rk LM statistic          Chi-sq(1)=10.61    P-val=0.0011

Weak identification test
Ho: equation is weakly identified
Cragg-Donald Wald F statistic                                       4.42
Kleibergen-Paap Wald rk F statistic                                 7.99

Stock-Yogo weak ID test critical values for K1=3 and L1=3:
                                                               <not available>

Weak-instrument-robust inference
Tests of joint significance of endogenous regressors B1 in main equation
Ho: B1=0 and orthogonality conditions are valid
Anderson-Rubin Wald test           F(3,18)=        8.62     P-val=0.0009
Anderson-Rubin Wald test           Chi-sq(3)=     28.55     P-val=0.0000
Stock-Wright LM S statistic        Chi-sq(3)=     11.97     P-val=0.0075

NB: Underidentification, weak identification and weak-identification-robust
    test statistics cluster-robust

Number of clusters             N_clust  =         19
Number of observations               N  =        208
Number of regressors                 K  =         10
Number of endogenous regressors      K1 =          3
Number of instruments                L  =         10
Number of excluded instruments       L1 =          3

IV (2SLS) estimation
--------------------

Estimates efficient for homoskedasticity only
Statistics robust to heteroskedasticity and clustering on province05

Number of clusters (province05) =     19              Number of obs =      208
                                                      F(  9,    18) =    14.12
                                                      Prob > F      =   0.0000
Total (centered) SS     =  19.47009702                Centered R2   =   0.4296
Total (uncentered) SS   =  59.41905053                Uncentered R2 =   0.8131
Residual SS             =  11.10629116                Root MSE      =    .2311

---------------------------------------------------------------------------------
                |               Robust
D_censu~9010_cp |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
----------------+----------------------------------------------------------------
all_road_2010~s |  -.0605803   .0245062    -2.47   0.013    -.1086115   -.0125491
D_cen~9010_pref |   .8780025   .1998651     4.39   0.000      .486274    1.269731
lall_road_201~p |   .0486724   .0825397     0.59   0.555    -.1131025    .2104473
     larea_cc90 |  -.1003784   .0212244    -4.73   0.000    -.1419775   -.0587794
     larea_pf05 |   .0244122   .0949973     0.26   0.797     -.161779    .2106034
province_capi~s |   .2496548    .075728     3.30   0.001     .1012306    .3980789
lcensuspop198~f |   .0947202    .062536     1.51   0.130    -.0278481    .2172885
frac_hig~2_pref |  -.8843608   .4903045    -1.80   0.071     -1.84534    .0766183
sha~an1982_pref |   -.435961   .2569912    -1.70   0.090    -.9396545    .0677325
          _cons |  -.5564145   1.126237    -0.49   0.621    -2.763799     1.65097
---------------------------------------------------------------------------------
Underidentification test (Kleibergen-Paap rk LM statistic):             10.609
                                                   Chi-sq(1) P-val =    0.0011
------------------------------------------------------------------------------
Weak identification test (Cragg-Donald Wald F statistic):                4.416
                         (Kleibergen-Paap rk Wald F statistic):          7.994
Stock-Yogo weak ID test critical values:                       <not available>
------------------------------------------------------------------------------
Hansen J statistic (overidentification test of all instruments):         0.000
                                                 (equation exactly identified)
------------------------------------------------------------------------------
Instrumented:         all_road_2010_rays D_censuspop9010_pref
                      lall_road_2010_km_pfcp
Included instruments: larea_cc90 larea_pf05 province_capitalPlus
                      lcensuspop1982_pref frac_highedu1982_pref
                      share_emp_man1982_pref
Excluded instruments: road_1962_rays ruralMigp00 lroad_1962_km_pfcp
------------------------------------------------------------------------------

. outreg2 using "table5", excel  dec(4)  auto(2) symbol(***,**,*)  se addstat(Firs
> t stage F, e(widstat)) append
table5.xml
dir : seeout

. *add radial rr instead
. ivreg2 D_censuspop9010_cp larea_cc90 larea_pf05 province_capitalPlus lcensuspop1
> 982_pref frac_highedu1982_pref share_emp_man1982_pref (all_road_2010_rays D_cens
> uspop9010_pref rail_2010_rays=road_1962_rays ruralMigp00 rail_1962_rays) if west
> ==0 & D0==1, first ffirst robust cluster(province05)

Unable to store first-stage regression of D_censuspop9010_pref.


First-stage regressions
-----------------------

Unable to display all first-stage regressions.
There may be insufficient room to store results using -estimates store-,
or names of endogenous regressors may be too long to store the results.
Try dropping one or more estimation results using -estimates drop-,
using the -savefprefix- option, or using shorter variable names.


First-stage regression of all_road_2010_rays:

Statistics robust to heteroskedasticity and clustering on province05
Number of obs =                    208
Number of clusters (province05) =     19
---------------------------------------------------------------------------------
                |               Robust
all_road_2010~s |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
----------------+----------------------------------------------------------------
 road_1962_rays |   .3269543   .0933414     3.50   0.001     .1428835    .5110252
    ruralMigp00 |   2.49e-06   1.13e-06     2.20   0.029     2.59e-07    4.73e-06
 rail_1962_rays |   .1505633   .1156512     1.30   0.194     -.077503    .3786295
     larea_cc90 |   .1292688   .1355697     0.95   0.341     -.138077    .3966146
     larea_pf05 |   .1900159    .279452     0.68   0.497    -.3610684    .7411001
province_capi~s |   1.755263   .5241007     3.35   0.001      .721727    2.788798
lcensuspop198~f |   .7297718   .2793449     2.61   0.010     .1788989    1.280645
frac_hig~2_pref |   .7837277   4.212478     0.19   0.853    -7.523353    9.090808
sha~an1982_pref |  -4.604208   2.023498    -2.28   0.024    -8.594581   -.6138353
          _cons |  -10.41035    3.57558    -2.91   0.004    -17.46146   -3.359244
---------------------------------------------------------------------------------
F test of excluded instruments:
  F(  3,    18) =     7.25
  Prob > F      =   0.0022
Sanderson-Windmeijer multivariate F test of excluded instruments:
  F(  1,    18) =    20.25
  Prob > F      =   0.0003


First-stage regression of rail_2010_rays:

Statistics robust to heteroskedasticity and clustering on province05
Number of obs =                    208
Number of clusters (province05) =     19
---------------------------------------------------------------------------------
                |               Robust
 rail_2010_rays |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
----------------+----------------------------------------------------------------
 road_1962_rays |   .0434462   .0384538     1.13   0.260    -.0323853    .1192777
    ruralMigp00 |  -9.55e-07   7.09e-07    -1.35   0.179    -2.35e-06    4.43e-07
 rail_1962_rays |    .382255   .0516933     7.39   0.000     .2803148    .4841952
     larea_cc90 |  -.0008253   .0956056    -0.01   0.993    -.1893613    .1877106
     larea_pf05 |   .0178782   .1882913     0.09   0.924    -.3534356     .389192
province_capi~s |   .4988422   .2839906     1.76   0.081    -.0611923    1.058877
lcensuspop198~f |     .29399   .1354446     2.17   0.031      .026891     .561089
frac_hig~2_pref |   3.423819   2.584013     1.33   0.187    -1.671901    8.519538
sha~an1982_pref |  -1.464495    .613369    -2.39   0.018    -2.674069   -.2549203
          _cons |  -3.373803   2.128291    -1.59   0.115     -7.57083    .8232236
---------------------------------------------------------------------------------
F test of excluded instruments:
  F(  3,    18) =    31.06
  Prob > F      =   0.0000
Sanderson-Windmeijer multivariate F test of excluded instruments:
  F(  1,    18) =    29.23
  Prob > F      =   0.0000



Summary results for first-stage regressions
-------------------------------------------

                                           (Underid)            (Weak id)
Variable     | F(  3,    18)  P-val | SW Chi-sq(  1) P-val | SW F(  1,    18)
all_road_201 |       7.25    0.0022 |       22.34   0.0000 |       20.25
D_censuspop9 |       5.75    0.0061 |       35.04   0.0000 |       31.75
rail_2010_ra |      31.06    0.0000 |       32.26   0.0000 |       29.23

NB: first-stage test statistics cluster-robust

Stock-Yogo weak ID F test critical values for single endogenous regressor:
                                    5% maximal IV relative bias    13.91
                                   10% maximal IV relative bias     9.08
                                   20% maximal IV relative bias     6.46
                                   30% maximal IV relative bias     5.39
                                   10% maximal IV size             22.30
                                   15% maximal IV size             12.83
                                   20% maximal IV size              9.54
                                   25% maximal IV size              7.80
Source: Stock-Yogo (2005).  Reproduced by permission.
NB: Critical values are for i.i.d. errors only.

Underidentification test
Ho: matrix of reduced form coefficients has rank=K1-1 (underidentified)
Ha: matrix has rank=K1 (identified)
Kleibergen-Paap rk LM statistic          Chi-sq(1)=8.50     P-val=0.0036

Weak identification test
Ho: equation is weakly identified
Cragg-Donald Wald F statistic                                       3.70
Kleibergen-Paap Wald rk F statistic                                 6.40

Stock-Yogo weak ID test critical values for K1=3 and L1=3:
                                                               <not available>

Weak-instrument-robust inference
Tests of joint significance of endogenous regressors B1 in main equation
Ho: B1=0 and orthogonality conditions are valid
Anderson-Rubin Wald test           F(3,18)=        4.29     P-val=0.0190
Anderson-Rubin Wald test           Chi-sq(3)=     14.19     P-val=0.0027
Stock-Wright LM S statistic        Chi-sq(3)=     10.63     P-val=0.0139

NB: Underidentification, weak identification and weak-identification-robust
    test statistics cluster-robust

Number of clusters             N_clust  =         19
Number of observations               N  =        208
Number of regressors                 K  =         10
Number of endogenous regressors      K1 =          3
Number of instruments                L  =         10
Number of excluded instruments       L1 =          3

IV (2SLS) estimation
--------------------

Estimates efficient for homoskedasticity only
Statistics robust to heteroskedasticity and clustering on province05

Number of clusters (province05) =     19              Number of obs =      208
                                                      F(  9,    18) =    15.59
                                                      Prob > F      =   0.0000
Total (centered) SS     =  19.47009702                Centered R2   =   0.4326
Total (uncentered) SS   =  59.41905053                Uncentered R2 =   0.8141
Residual SS             =  11.04721947                Root MSE      =    .2305

---------------------------------------------------------------------------------
                |               Robust
D_censu~9010_cp |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
----------------+----------------------------------------------------------------
all_road_2010~s |  -.0592702   .0256882    -2.31   0.021    -.1096181   -.0089223
D_cen~9010_pref |   .9097566   .1932008     4.71   0.000     .5310899    1.288423
 rail_2010_rays |  -.0014807   .0538764    -0.03   0.978    -.1070766    .1041152
     larea_cc90 |  -.1120583   .0230816    -4.85   0.000    -.1572973   -.0668192
     larea_pf05 |   .0718525   .0270903     2.65   0.008     .0187564    .1249486
province_capi~s |   .2467789   .0862795     2.86   0.004     .0776741    .4158837
lcensuspop198~f |   .1133692   .0389429     2.91   0.004     .0370425    .1896958
frac_hig~2_pref |  -.8823788   .6417207    -1.38   0.169    -2.140128    .3753707
sha~an1982_pref |  -.4477202   .2380108    -1.88   0.060    -.9142127    .0187724
          _cons |  -.8969148   .6662072    -1.35   0.178    -2.202657    .4088274
---------------------------------------------------------------------------------
Underidentification test (Kleibergen-Paap rk LM statistic):              8.496
                                                   Chi-sq(1) P-val =    0.0036
------------------------------------------------------------------------------
Weak identification test (Cragg-Donald Wald F statistic):                3.699
                         (Kleibergen-Paap rk Wald F statistic):          6.395
Stock-Yogo weak ID test critical values:                       <not available>
------------------------------------------------------------------------------
Hansen J statistic (overidentification test of all instruments):         0.000
                                                 (equation exactly identified)
------------------------------------------------------------------------------
Instrumented:         all_road_2010_rays D_censuspop9010_pref rail_2010_rays
Included instruments: larea_cc90 larea_pf05 province_capitalPlus
                      lcensuspop1982_pref frac_highedu1982_pref
                      share_emp_man1982_pref
Excluded instruments: road_1962_rays ruralMigp00 rail_1962_rays
------------------------------------------------------------------------------

. outreg2 using "table5", excel  dec(4)  auto(2) symbol(***,**,*)  se addstat(Firs
> t stage F, e(widstat)) append
table5.xml
dir : seeout

. *ring-road only
. ivreg2 D_censuspop9010_cp larea_cc90 larea_pf05 province_capitalPlus lcensuspop1
> 982_pref frac_highedu1982_pref share_emp_man1982_pref (po_s_all_road_2010_ringxd
> a D_censuspop9010_pref = po_s_road_1962_ringxda ruralMigp00 ) if west==0 & D0==1
> , first ffirst robust cluster(province05)

Unable to store first-stage regression of po_s_all_road_2010_ringxda.


Unable to store first-stage regression of D_censuspop9010_pref.


First-stage regressions
-----------------------

Unable to display all first-stage regressions.
There may be insufficient room to store results using -estimates store-,
or names of endogenous regressors may be too long to store the results.
Try dropping one or more estimation results using -estimates drop-,
using the -savefprefix- option, or using shorter variable names.



Summary results for first-stage regressions
-------------------------------------------

                                           (Underid)            (Weak id)
Variable     | F(  2,    18)  P-val | SW Chi-sq(  1) P-val | SW F(  1,    18)
po_s_all_roa |       5.89    0.0108 |       11.43   0.0007 |       10.41
D_censuspop9 |       3.09    0.0703 |       19.35   0.0000 |       17.62

NB: first-stage test statistics cluster-robust

Stock-Yogo weak ID F test critical values for single endogenous regressor:
                                   10% maximal IV size             19.93
                                   15% maximal IV size             11.59
                                   20% maximal IV size              8.75
                                   25% maximal IV size              7.25
Source: Stock-Yogo (2005).  Reproduced by permission.
NB: Critical values are for i.i.d. errors only.

Underidentification test
Ho: matrix of reduced form coefficients has rank=K1-1 (underidentified)
Ha: matrix has rank=K1 (identified)
Kleibergen-Paap rk LM statistic          Chi-sq(1)=4.37     P-val=0.0367

Weak identification test
Ho: equation is weakly identified
Cragg-Donald Wald F statistic                                       7.31
Kleibergen-Paap Wald rk F statistic                                 5.27

Stock-Yogo weak ID test critical values for K1=2 and L1=2:
                                   10% maximal IV size              7.03
                                   15% maximal IV size              4.58
                                   20% maximal IV size              3.95
                                   25% maximal IV size              3.63
Source: Stock-Yogo (2005).  Reproduced by permission.
NB: Critical values are for Cragg-Donald F statistic and i.i.d. errors.

Weak-instrument-robust inference
Tests of joint significance of endogenous regressors B1 in main equation
Ho: B1=0 and orthogonality conditions are valid
Anderson-Rubin Wald test           F(2,18)=        3.54     P-val=0.0506
Anderson-Rubin Wald test           Chi-sq(2)=      7.77     P-val=0.0206
Stock-Wright LM S statistic        Chi-sq(2)=     10.18     P-val=0.0062

NB: Underidentification, weak identification and weak-identification-robust
    test statistics cluster-robust

Number of clusters             N_clust  =         19
Number of observations               N  =        208
Number of regressors                 K  =          9
Number of endogenous regressors      K1 =          2
Number of instruments                L  =          9
Number of excluded instruments       L1 =          2

IV (2SLS) estimation
--------------------

Estimates efficient for homoskedasticity only
Statistics robust to heteroskedasticity and clustering on province05

Number of clusters (province05) =     19              Number of obs =      208
                                                      F(  8,    18) =    23.12
                                                      Prob > F      =   0.0000
Total (centered) SS     =  19.47009702                Centered R2   =   0.3738
Total (uncentered) SS   =  59.41905053                Uncentered R2 =   0.7948
Residual SS             =  12.19261548                Root MSE      =    .2421

---------------------------------------------------------------------------------
                |               Robust
D_censu~9010_cp |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
----------------+----------------------------------------------------------------
po_s_all_road.. |  -.2124648   .1043489    -2.04   0.042    -.4169848   -.0079448
D_cen~9010_pref |   .6512102   .1279756     5.09   0.000     .4003827    .9020377
     larea_cc90 |  -.1624684   .0351495    -4.62   0.000    -.2313603   -.0935766
     larea_pf05 |    .042568   .0414276     1.03   0.304    -.0386285    .1237645
province_capi~s |   .1684266   .0571448     2.95   0.003     .0564247    .2804284
lcensuspop198~f |   .0500396   .0418804     1.19   0.232    -.0320445    .1321238
frac_hig~2_pref |   -1.02707   .5853912    -1.75   0.079    -2.174416    .1202753
sha~an1982_pref |  -.1159442   .2351454    -0.49   0.622    -.5768208    .3449324
          _cons |   .5318611   .5336746     1.00   0.319    -.5141219    1.577844
---------------------------------------------------------------------------------
Underidentification test (Kleibergen-Paap rk LM statistic):              4.366
                                                   Chi-sq(1) P-val =    0.0367
------------------------------------------------------------------------------
Weak identification test (Cragg-Donald Wald F statistic):                7.309
                         (Kleibergen-Paap rk Wald F statistic):          5.270
Stock-Yogo weak ID test critical values: 10% maximal IV size              7.03
                                         15% maximal IV size              4.58
                                         20% maximal IV size              3.95
                                         25% maximal IV size              3.63
Source: Stock-Yogo (2005).  Reproduced by permission.
NB: Critical values are for Cragg-Donald F statistic and i.i.d. errors.
------------------------------------------------------------------------------
Hansen J statistic (overidentification test of all instruments):         0.000
                                                 (equation exactly identified)
------------------------------------------------------------------------------
Instrumented:         po_s_all_road_2010_ringxda D_censuspop9010_pref
Included instruments: larea_cc90 larea_pf05 province_capitalPlus
                      lcensuspop1982_pref frac_highedu1982_pref
                      share_emp_man1982_pref
Excluded instruments: po_s_road_1962_ringxda ruralMigp00
------------------------------------------------------------------------------

. outreg2 using "table5", excel  dec(4)  auto(2) symbol(***,**,*)  se addstat(Firs
> t stage F, e(widstat)) append
table5.xml
dir : seeout

. *radial + ring-roads
. ivreg2 D_censuspop9010_cp larea_cc90 larea_pf05 province_capitalPlus lcensuspop1
> 982_pref frac_highedu1982_pref share_emp_man1982_pref (all_road_2010_rays po_s_a
> ll_road_2010_ringxda D_censuspop9010_pref = road_1962_rays po_s_road_1962_ringxd
> a ruralMigp00 ) if west==0 & D0==1, first ffirst robust cluster(province05)

Unable to store first-stage regression of po_s_all_road_2010_ringxda.


Unable to store first-stage regression of D_censuspop9010_pref.


First-stage regressions
-----------------------

Unable to display all first-stage regressions.
There may be insufficient room to store results using -estimates store-,
or names of endogenous regressors may be too long to store the results.
Try dropping one or more estimation results using -estimates drop-,
using the -savefprefix- option, or using shorter variable names.


First-stage regression of all_road_2010_rays:

Statistics robust to heteroskedasticity and clustering on province05
Number of obs =                    208
Number of clusters (province05) =     19
---------------------------------------------------------------------------------
                |               Robust
all_road_2010~s |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
----------------+----------------------------------------------------------------
 road_1962_rays |   .3329372   .0913693     3.64   0.000     .1527553    .5131191
po_s_road_196.. |  -.7094774   .4628857    -1.53   0.127    -1.622296    .2033413
    ruralMigp00 |   2.51e-06   1.12e-06     2.24   0.026     3.01e-07    4.72e-06
     larea_cc90 |   .0828826    .150513     0.55   0.582    -.2139317     .379697
     larea_pf05 |   .2170282   .2798683     0.78   0.439    -.3348771    .7689334
province_capi~s |   1.790207   .5527654     3.24   0.001     .7001443     2.88027
lcensuspop198~f |   .7567862   .2631319     2.88   0.004     .2378856    1.275687
frac_hig~2_pref |   2.931337   4.386671     0.67   0.505    -5.719256    11.58193
sha~an1982_pref |  -4.597049   1.990933    -2.31   0.022    -8.523203   -.6708941
          _cons |  -10.79441   3.267129    -3.30   0.001    -17.23725   -4.351575
---------------------------------------------------------------------------------
F test of excluded instruments:
  F(  3,    18) =     7.20
  Prob > F      =   0.0022
Sanderson-Windmeijer multivariate F test of excluded instruments:
  F(  1,    18) =    26.22
  Prob > F      =   0.0001



Summary results for first-stage regressions
-------------------------------------------

                                           (Underid)            (Weak id)
Variable     | F(  3,    18)  P-val | SW Chi-sq(  1) P-val | SW F(  1,    18)
all_road_201 |       7.20    0.0022 |       28.94   0.0000 |       26.22
po_s_all_roa |       5.85    0.0057 |        7.85   0.0051 |        7.11
D_censuspop9 |       2.81    0.0686 |       59.76   0.0000 |       54.15

NB: first-stage test statistics cluster-robust

Stock-Yogo weak ID F test critical values for single endogenous regressor:
                                    5% maximal IV relative bias    13.91
                                   10% maximal IV relative bias     9.08
                                   20% maximal IV relative bias     6.46
                                   30% maximal IV relative bias     5.39
                                   10% maximal IV size             22.30
                                   15% maximal IV size             12.83
                                   20% maximal IV size              9.54
                                   25% maximal IV size              7.80
Source: Stock-Yogo (2005).  Reproduced by permission.
NB: Critical values are for i.i.d. errors only.

Underidentification test
Ho: matrix of reduced form coefficients has rank=K1-1 (underidentified)
Ha: matrix has rank=K1 (identified)
Kleibergen-Paap rk LM statistic          Chi-sq(1)=6.15     P-val=0.0131

Weak identification test
Ho: equation is weakly identified
Cragg-Donald Wald F statistic                                       2.55
Kleibergen-Paap Wald rk F statistic                                 3.00

Stock-Yogo weak ID test critical values for K1=3 and L1=3:
                                                               <not available>

Weak-instrument-robust inference
Tests of joint significance of endogenous regressors B1 in main equation
Ho: B1=0 and orthogonality conditions are valid
Anderson-Rubin Wald test           F(3,18)=        4.99     P-val=0.0108
Anderson-Rubin Wald test           Chi-sq(3)=     16.52     P-val=0.0009
Stock-Wright LM S statistic        Chi-sq(3)=     13.43     P-val=0.0038

NB: Underidentification, weak identification and weak-identification-robust
    test statistics cluster-robust

Number of clusters             N_clust  =         19
Number of observations               N  =        208
Number of regressors                 K  =         10
Number of endogenous regressors      K1 =          3
Number of instruments                L  =         10
Number of excluded instruments       L1 =          3

IV (2SLS) estimation
--------------------

Estimates efficient for homoskedasticity only
Statistics robust to heteroskedasticity and clustering on province05

Number of clusters (province05) =     19              Number of obs =      208
                                                      F(  9,    18) =    12.19
                                                      Prob > F      =   0.0000
Total (centered) SS     =  19.47009702                Centered R2   =   0.1763
Total (uncentered) SS   =  59.41905053                Uncentered R2 =   0.7301
Residual SS             =  16.03741449                Root MSE      =    .2777

---------------------------------------------------------------------------------
                |               Robust
D_censu~9010_cp |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
----------------+----------------------------------------------------------------
all_road_2010~s |  -.0821186   .0274433    -2.99   0.003    -.1359065   -.0283306
po_s_all_road.. |  -.3155984   .1365412    -2.31   0.021    -.5832143   -.0479826
D_cen~9010_pref |   .9122955   .2015025     4.53   0.000     .5173578    1.307233
     larea_cc90 |  -.1732274   .0435563    -3.98   0.000    -.2585961   -.0878586
     larea_pf05 |   .0914706   .0451628     2.03   0.043     .0029532     .179988
province_capi~s |   .2984028   .0848693     3.52   0.000      .132062    .4647436
lcensuspop198~f |   .1418868    .042697     3.32   0.001     .0582021    .2255714
frac_hig~2_pref |  -.9260599   .5983709    -1.55   0.122    -2.098845    .2467255
sha~an1982_pref |  -.4703955    .312653    -1.50   0.132    -1.083184    .1423932
          _cons |  -.8874542   .6058665    -1.46   0.143    -2.074931    .3000223
---------------------------------------------------------------------------------
Underidentification test (Kleibergen-Paap rk LM statistic):              6.150
                                                   Chi-sq(1) P-val =    0.0131
------------------------------------------------------------------------------
Weak identification test (Cragg-Donald Wald F statistic):                2.554
                         (Kleibergen-Paap rk Wald F statistic):          3.004
Stock-Yogo weak ID test critical values:                       <not available>
------------------------------------------------------------------------------
Hansen J statistic (overidentification test of all instruments):         0.000
                                                 (equation exactly identified)
------------------------------------------------------------------------------
Instrumented:         all_road_2010_rays po_s_all_road_2010_ringxda
                      D_censuspop9010_pref
Included instruments: larea_cc90 larea_pf05 province_capitalPlus
                      lcensuspop1982_pref frac_highedu1982_pref
                      share_emp_man1982_pref
Excluded instruments: road_1962_rays po_s_road_1962_ringxda ruralMigp00
------------------------------------------------------------------------------

. outreg2 using "table5", excel  dec(4)  auto(2) symbol(***,**,*)  se addstat(Firs
> t stage F, e(widstat)) append
table5.xml
dir : seeout

. 
. 
. 
. log close
      name:  <unnamed>
       log:  C:\research\china\decentralization\restat_data\results\table5.log
  log type:  text
 closed on:  22 Jul 2016, 09:37:50
----------------------------------------------------------------------------------
